A three point boundary value problem for nonlinear fourth order differential equations. (Q1414183)
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scientific article; zbMATH DE number 2006020
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A three point boundary value problem for nonlinear fourth order differential equations. |
scientific article; zbMATH DE number 2006020 |
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A three point boundary value problem for nonlinear fourth order differential equations. (English)
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19 November 2003
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Consider the boundary value problem \(u^{\prime \prime \prime \prime}=\lambda g(t) f(u)\), \(0<t<1\), \(u(0)=u^{\prime}(1)=u^{\prime \prime}(0)=u^{\prime \prime}(p)-u^{\prime \prime}(1)=0\). Main results of this paper state existence or nonexistence or existence of infinitely many positive solutions for this type of problems. Krasnoselskii's fixed point theorem is used in the proof. The last section contains two examples.
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fourth order ordinary differential equation
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existence
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integral operator
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Green function
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